CONVERGENT FAMILIES OF APPROXIMATE INERTIAL MANIFOLDS FOR NONAUTONOMOUS EVOLUTION EQUATIONS  

作　　者：王宗信 范先令 朱正佑 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1998年第8期765-775,共11页应用数学和力学（英文版）

摘　　要：In this paper, the long time behavior of nonautonomous infinite dimensional dynamical systems is studied. A family of convergent approximate inertial manifolds for a class of evolution equations has been constructed when the spectral gap condition is satisfied.In this paper, the long time behavior of nonautonomous infinite dimensional dynamical systems is studied. A family of convergent approximate inertial manifolds for a class of evolution equations has been constructed when the spectral gap condition is satisfied.

关 键 词：nonautonomous equation approximate inertial manifold spectral gap condition 

分 类 号：O175[理学—数学]